As we have seen, in Theorems 3.15 and 3.18 above, continuous linear forms on C 0.(X), for X an open subset of C n, arise naturally in the theory of distributions. The alternative name of Radon measure for such a form finds its origin in the existence of a bijective correspondence that associates a complex-valued measure on X to the linear form. More specifically, we have the following (Frigyes)1 Riesz Representation Theorem.
KeywordsLinear Form Integrable Function Cauchy Sequence Bounded Variation Nonnegative Function
Unable to display preview. Download preview PDF.